Short Course on Mechanics of Bi-stable Elastic Metamaterials
This short course delves into the mechanical aspects of elastic metamaterials that exhibit bi-stable mechanisms at the microscale. It aims to provide a comprehensive understanding of the energetic landscape conditions that lead to phenomena such as hysteresis effect and energy dissipation, especially in the context of the limit behavior of microarchitectures. presented by esteemed researcher Alfredo Huespe. This course is scheduled for November 21st and 22nd, 2023, from 15:00 to 17:00 at location G-205, PEM, COPPE.
Key Topics:
- Introduction to Metamaterials: A brief overview of mechanical and acoustic applications of metamaterials.
- Energetic Landscape and Hysteresis: Examining the conditions leading to hysteresis and energy dissipation in metamaterials.
- Jump Conditions in Mechanical Systems: Discussion on phase boundaries in systems with non-convex energies, including analysis of 1D springs and chains, and continuum response.
- Mechanical Description of Bi-stable Metamaterials: Understanding the apparent responses of metamaterials with microscopic bi-stability, including constitutive equations and effective metamaterial response at the macroscale.
- Lattice Analysis: Exploring specific lattices with bi-stability under various loading directions.
Bibliography that follows the course:
1) Abeyaratne, Rohan, and James K. Knowles. "Kinetic relations and the propagation of phase boundaries in solids." Archive for rational mechanics and analysis 114 (1991): 119-154.
2) Abeyaratne, Rohan, and James K. Knowles. Evolution of phase transitions: a continuum theory. Cambridge University Press, 2006.
3) Fedelich, B., and Giovanni Zanzotto. "Hysteresis in discrete systems of possibly interacting elements with a double-well energy." Journal of Nonlinear Science 2 (1992): 319-342.
4) Puglisi, G., and Lev Truskinovsky. "Mechanics of a discrete chain with bi-stable elements." Journal of the Mechanics and Physics of Solids 48.1 (2000): 1-27.
5) Puglisi, G., and L. Truskinovsky. "Rate independent hysteresis in a bi-stable chain." Journal of the Mechanics and Physics of Solids 50.2 (2002): 165-187.
On convexification and relaxation of non-convex energies
6) Kohn, Robert V. "The relaxation of a double-well energy." Continuum Mechanics and Thermodynamics 3.3 (1991): 193-236.
7) Pipkin, Allen C. "Elastic materials with two preferred states." The Quarterly Journal of Mechanics and Applied Mathematics 44.1 (1991): 1-15.
About Alfredo Huespe:
Alfredo Huespe is a renowned researcher at CIMEC (Centro de Investigaciones en Mecánica Computacional), Conicet, National University of Litoral, Argentina. With over 20 years of experience in Computational Fracture Mechanics and Computational Design of Mechanical and Acoustic Metamaterials, his expertise is invaluable to this course. His recent research focuses on the analysis of metamaterials with bistable mechanisms at the microscale.
Registration and Contact Details:
For this course, registration is not required. If you need additional information, please feel free to reach out to Prof. Fernando Duda at
For a detailed description of the short course, please visit the following link: Short Course.
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